(-5j+6)(7j+5)=0

Solution for (-5j+6)(7j+5)=0 equation:

Simplifying
(-5j + 6)(7j + 5) = 0

Reorder the terms:
(6 + -5j)(7j + 5) = 0

Reorder the terms:
(6 + -5j)(5 + 7j) = 0

Multiply (6 + -5j) * (5 + 7j)
(6(5 + 7j) + -5j * (5 + 7j)) = 0
((5 * 6 + 7j * 6) + -5j * (5 + 7j)) = 0
((30 + 42j) + -5j * (5 + 7j)) = 0
(30 + 42j + (5 * -5j + 7j * -5j)) = 0
(30 + 42j + (-25j + -35j2)) = 0

Combine like terms: 42j + -25j = 17j
(30 + 17j + -35j2) = 0

Solving
30 + 17j + -35j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(6 + -5j)(5 + 7j) = 0

Subproblem 1
Set the factor '(6 + -5j)' equal to zero and attempt to solve:

Simplifying
6 + -5j = 0

Solving
6 + -5j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -5j = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5j = 0 + -6
-5j = 0 + -6

Combine like terms: 0 + -6 = -6
-5j = -6

Divide each side by '-5'.
j = 1.2

Simplifying
j = 1.2
Subproblem 2
Set the factor '(5 + 7j)' equal to zero and attempt to solve:

Simplifying
5 + 7j = 0

Solving
5 + 7j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 7j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7j = 0 + -5
7j = 0 + -5

Combine like terms: 0 + -5 = -5
7j = -5

Divide each side by '7'.
j = -0.7142857143

Simplifying
j = -0.7142857143
Solution
j = {1.2, -0.7142857143}